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Finding the Fourth Proportional to 290,438.58, 400,842.83 and 163,114.17

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Solution

The fourth proportional to 290,438.58, 400,842.83 and 163,114.17 is: 225,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438.58 : 400,842.83 = 163,114.17 : x
  2. Step 2: Convert to fraction form
    290,438.58/400,842.83 = 163,114.17/x
  3. Step 3: Cross multiply
    290,438.58x = 400,842.83 × 163,114.17
  4. Step 4: Simplify right side
    290,438.58x = 65,383,145,757.75
  5. Step 5: Solve for x
    x = 65,383,145,757.75/290,438.58
  6. Step 6: Final answer
    x = 225,118.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.